A two dimensional model of wind forced inertial oscillations

A two dimensional model of wind driven inertial oscillations is formulated. The equations for current velocity model the wind stress as a body force, and are vertically integrated in accordance with the slab flow concept. Two dissipation terms are included, one first order and second order term. A linear constant of proportionality is used for each. The changing nature of the thermocline is modeled using the equations of Denman (1973). A general algorithm is used for the solar radiative flux. A number solution is developed for the system of equations. The portion of the model dealing with thermocline changes is tested against data from Ocean Station Papa. A good fit is obtained, with coefficients similar to those found by Denman and Miyake (1973). Current velocities were tested against moored data using progressive vector diagrams. A good fit is obtained. The four day damping of Pollard and Millard (1970) is supported. An experimental design is proposed to obtain two dimensional data for the testing of this type of model. (Author)